Symmetric knots and the cabling conjecture

DOI10.1007/BF01459747zbMath0792.57001WikidataQ123165655 ScholiaQ123165655MaRDI QIDQ1322087

Xingru Zhang, Erhard Luft

Publication date: 5 May 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165182

zbMATH Keywords

cabling conjecturecyclic group actionssymmetric knots

Mathematics Subject Classification ID

Related Items (8)

Networking Seifert Surgeries on Knots ⋮ Reducing Dehn filling and toroidal Dehn filling ⋮ Dehn surgery on knots in solid tori creating essential annuli ⋮ Exceptional and cosmetic surgeries on knots ⋮ Can Dehn surgery yield three connected summands? ⋮ Contact structures and reducible surgeries ⋮ Essential surfaces of non-negative Euler characteristic in genus two handlebody exteriors ⋮ A proof of the Scott-Wiegold conjecture on free products of cyclic groups

Cites Work

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• Incompressible planar surfaces in 3-manifolds
• Incompressible branched surfaces
• Producing reducible 3-manifolds by surgery on a knot
• Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature
• The reducibility of surgered 3-manifolds
• Only integral Dehn surgeries can yield reducible manifolds
• Knot surgery and primeness
• Knots are Determined by Their Complements
• Band Sums of Links which Yield Composite Links. The Cabling Conjecture for Strongly Invertible Knots
• Symmetry of Knots and Cyclic Surgery
• Dehn surgery on knots

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